Question

L.) How do you construct congruent segments, segment bisectors, angles, and angle bisectors using tools such as a compass and a straightedge?

Answer 1

Answer:  

Construction of congruent segment: First we take the measurement of the line segment with help of marked scale or a compass, then by pointing the measurements we can get the congruent line segment.

Construction of congruent angle:

Step 1: Make two congruent segments,

Step 2: Adjust compass in a fixed length.

Step 3: Make an angle on any side of one segments with help of compass,

Step 4 : Again, make an angle on any side of the another segment with the same adjusted compass.

Construction of segment bisector,

Step 1: First place the compass on the one end of the segment,

Step 2: Adjust the compass approx to the half length of the segment,

Step 3: Draw arc above and below to the segment,

Step 4: Now, go the other end and by the same length draw two arcs by crossing the previous arcs.

Step 5: join the above and below crossed marks.

Construction of angle bisector:

Step 1: Place the compass on the vertex of the angle,

Step 2: Adjust the compass in any length,

Step 3: Make an arc in one segment of the angle and from that arc again Make an arc above the angle

Step 4: Make an arc of the same length in the another segment by the same vertex and crossed the arc made above the vertex.

Step 5: join the point of crossing and the vertex of the angle.